Interpolating between Positive and Completely Positive Maps: A New Hierarchy of Entangled States

被引：2

作者：

Siudzinska, Katarzyna ^{[1
]}

Chakraborty, Sagnik ^{[1
]}

Chruscinski, Dariusz ^{[1
]}

机构：

[1] Nicolaus Copernicus Univ, Inst Phys, Fac Phys Astron & Informat, Ul Grudziadzka 5-7, PL-87100 Torun, Poland

来源：

ENTROPY | 2021年 / 23卷 / 05期

关键词：

qubit maps; contractivity; Schwarz inequality; positive maps; Schmidt number; SCHMIDT NUMBER; LINEAR MAPS; MATRICES;

D O I：

10.3390/e23050625

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new class of positive maps is introduced. It interpolates between positive and completely positive maps. It is shown that this class gives rise to a new characterization of entangled states. Additionally, it provides a refinement of the well-known classes of entangled states characterized in terms of the Schmidt number. The analysis is illustrated with examples of qubit maps.

引用

页数：10

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